Q. A sufficient condition for a simple graph G with n vertices have a Hamiltonian cycle is that the degree of every vertex in G is atleast……..

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Q. Choose the properties of the asymptotic notation given below:

1) Reflexivity & transpose symmetry
2) Asymmetry& reflexivity
3) Symmetry& transitivity
4) Symmetry& equity

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Q. The searching technique that takes O(1) time to find a data is

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Q. Which of the following sorting algorithms does not have a worst case running time of O(nlog n)?

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Q. An undirected graph G with n vertices and e edges is represented by adjacency list. What is  the time required to generate all the connected components?

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Q. The quick sort algorithm exploits……..design technique.

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Q. The recurrence relation capturing the optimal execution time of the Towers of Hanoi problem with n discs is

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Q. Which of the following statements are TRUE?

 (1) The problem of determining whether there exists a cycle in an undirected graph is in P.
 (2) The problem of determining whether there exists a cycle in an undirected graph is in NP.
 (3) If a problem A is NP-Complete, there exists a non-deterministic polynomial time algorithm to solve A.

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Q. The best case time complexity for a successful binary search is O(1). Similarly the best case time complexity for an unsuccessful binary search is…….

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Q. State the worst case time complexity for quick sort.

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Q. A search technique where we keep expanding nodes with least accumulated cost so far is called

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Q. Both P and NP are closed under the operation of

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Q. In general, Amortization is used for specific types of algorithms like

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Q. The Single Source Shortest path algorithm takes……..time.

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Q. Time required to find an element at level i of a tree is

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Q. What are the number of spanning trees possible from a graph containing n vertices?

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Q. The best average behavior is shown by

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Q. Divide and Conquer is an important algorithm design paradigm based on

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Q. What is the time complexity for printing a list of n items to the screen, looking at each item once?

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Q. What is the time complexity for taking a list of n items, and comparing every item to every other item?

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